Plotting Coordinate Points in Positive y Quadrants Only (A) - Free Printable
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Step-by-step solution for: Plotting Coordinate Points in Positive y Quadrants Only (A)
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Show Answer Key & Explanations
Step-by-step solution for: Plotting Coordinate Points in Positive y Quadrants Only (A)
Let's solve the problem step by step.
---
Plot the following coordinate points on the given coordinate grid:
```
(3, 7) (-3, 7) (-5, 13) (6, 0) (3, 18) (0, 10) (-3, 18) (4, 3)
(0, 1) (-4, 3) (0, 16) (6, 0) (8, 18) (7, 19) (4, 3) (-1, 4)
```
Note: The point (6, 0) and (4, 3) appear twice — we'll plot them once each.
---
We are working with a Cartesian coordinate system:
- The first number in each pair is the x-coordinate (horizontal position).
- The second number is the y-coordinate (vertical position).
To plot a point:
1. Start at the origin (0, 0).
2. Move horizontally to the x-value (right for positive, left for negative).
3. Then move vertically to the y-value (up for positive, down for negative).
4. Mark the point.
---
1. (3, 7)
→ Move 3 units right, 7 units up.
2. (-3, 7)
→ Move 3 units left, 7 units up.
3. (-5, 13)
→ Move 5 units left, 13 units up.
4. (6, 0)
→ Move 6 units right, stay on the x-axis (y = 0).
5. (3, 18)
→ Move 3 units right, 18 units up.
6. (0, 10)
→ Stay on the y-axis (x = 0), move 10 units up.
7. (-3, 18)
→ Move 3 units left, 18 units up.
8. (4, 3)
→ Move 4 units right, 3 units up.
9. (0, 1)
→ On the y-axis, 1 unit up.
10. (-4, 3)
→ Move 4 units left, 3 units up.
11. (0, 16)
→ On the y-axis, 16 units up.
12. (6, 0) *(duplicate)* → Already plotted.
13. (8, 18)
→ Move 8 units right, 18 units up.
14. (7, 19)
→ Move 7 units right, 19 units up.
15. (4, 3) *(duplicate)* → Already plotted.
16. (-1, 4)
→ Move 1 unit left, 4 units up.
---
- Several points are high up (like (7,19), (8,18), (3,18), (-3,18)), so you’ll need to use the top of the grid.
- Points like (0,16), (0,10), (0,1) lie on the y-axis.
- (6,0) lies on the x-axis.
- Some points are symmetric: e.g., (3,7) and (-3,7) are mirror images across the y-axis.
---
Since I can't draw directly here, here’s how you should do it:
1. Use the grid provided.
2. Locate the x-axis (horizontal) and y-axis (vertical).
3. For each point:
- Find the x-value along the horizontal axis.
- Find the y-value along the vertical axis.
- Mark where they intersect.
---
✔ You should now plot all the following points on the grid:
| Point | Description |
|-------------|-----------|
| (3, 7) | Right 3, Up 7 |
| (-3, 7) | Left 3, Up 7 |
| (-5, 13) | Left 5, Up 13 |
| (6, 0) | Right 6, on x-axis |
| (3, 18) | Right 3, Up 18 |
| (0, 10) | On y-axis, Up 10 |
| (-3, 18) | Left 3, Up 18 |
| (4, 3) | Right 4, Up 3 |
| (0, 1) | On y-axis, Up 1 |
| (-4, 3) | Left 4, Up 3 |
| (0, 16) | On y-axis, Up 16 |
| (8, 18) | Right 8, Up 18 |
| (7, 19) | Right 7, Up 19 |
| (-1, 4) | Left 1, Up 4 |
> ⚠️ Note: (6,0) and (4,3) are repeated; only plot once.
---
Once all points are plotted, you may notice patterns or shapes, but the task only asks to plot the points.
✔ Done! You’ve successfully plotted all required coordinate points.
If you’d like, I can help you connect them or identify what shape they form. Let me know!
---
Task:
Plot the following coordinate points on the given coordinate grid:
```
(3, 7) (-3, 7) (-5, 13) (6, 0) (3, 18) (0, 10) (-3, 18) (4, 3)
(0, 1) (-4, 3) (0, 16) (6, 0) (8, 18) (7, 19) (4, 3) (-1, 4)
```
Note: The point (6, 0) and (4, 3) appear twice — we'll plot them once each.
---
Step-by-step Explanation:
We are working with a Cartesian coordinate system:
- The first number in each pair is the x-coordinate (horizontal position).
- The second number is the y-coordinate (vertical position).
To plot a point:
1. Start at the origin (0, 0).
2. Move horizontally to the x-value (right for positive, left for negative).
3. Then move vertically to the y-value (up for positive, down for negative).
4. Mark the point.
---
Let’s go through each point:
1. (3, 7)
→ Move 3 units right, 7 units up.
2. (-3, 7)
→ Move 3 units left, 7 units up.
3. (-5, 13)
→ Move 5 units left, 13 units up.
4. (6, 0)
→ Move 6 units right, stay on the x-axis (y = 0).
5. (3, 18)
→ Move 3 units right, 18 units up.
6. (0, 10)
→ Stay on the y-axis (x = 0), move 10 units up.
7. (-3, 18)
→ Move 3 units left, 18 units up.
8. (4, 3)
→ Move 4 units right, 3 units up.
9. (0, 1)
→ On the y-axis, 1 unit up.
10. (-4, 3)
→ Move 4 units left, 3 units up.
11. (0, 16)
→ On the y-axis, 16 units up.
12. (6, 0) *(duplicate)* → Already plotted.
13. (8, 18)
→ Move 8 units right, 18 units up.
14. (7, 19)
→ Move 7 units right, 19 units up.
15. (4, 3) *(duplicate)* → Already plotted.
16. (-1, 4)
→ Move 1 unit left, 4 units up.
---
Now, let’s identify key observations:
- Several points are high up (like (7,19), (8,18), (3,18), (-3,18)), so you’ll need to use the top of the grid.
- Points like (0,16), (0,10), (0,1) lie on the y-axis.
- (6,0) lies on the x-axis.
- Some points are symmetric: e.g., (3,7) and (-3,7) are mirror images across the y-axis.
---
How to Plot on the Grid:
Since I can't draw directly here, here’s how you should do it:
1. Use the grid provided.
2. Locate the x-axis (horizontal) and y-axis (vertical).
3. For each point:
- Find the x-value along the horizontal axis.
- Find the y-value along the vertical axis.
- Mark where they intersect.
---
Final Answer:
✔ You should now plot all the following points on the grid:
| Point | Description |
|-------------|-----------|
| (3, 7) | Right 3, Up 7 |
| (-3, 7) | Left 3, Up 7 |
| (-5, 13) | Left 5, Up 13 |
| (6, 0) | Right 6, on x-axis |
| (3, 18) | Right 3, Up 18 |
| (0, 10) | On y-axis, Up 10 |
| (-3, 18) | Left 3, Up 18 |
| (4, 3) | Right 4, Up 3 |
| (0, 1) | On y-axis, Up 1 |
| (-4, 3) | Left 4, Up 3 |
| (0, 16) | On y-axis, Up 16 |
| (8, 18) | Right 8, Up 18 |
| (7, 19) | Right 7, Up 19 |
| (-1, 4) | Left 1, Up 4 |
> ⚠️ Note: (6,0) and (4,3) are repeated; only plot once.
---
Once all points are plotted, you may notice patterns or shapes, but the task only asks to plot the points.
✔ Done! You’ve successfully plotted all required coordinate points.
If you’d like, I can help you connect them or identify what shape they form. Let me know!
Parent Tip: Review the logic above to help your child master the concept of coordinate graph pictures worksheet.